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Statistical Analysis of Trends in the Red River Over a 45 Year Period

Statistical Analysis of Trends in the Red River Over a 45 Year Period

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CONCENTR<br />

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CONCENTR<br />

1 1.5<br />

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500 RED RIVER OF THE NORTH AT EMERSON, MANITOBA<br />

dsul<br />

1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />

POINTS: SEASONALLY ADJUSTED AND FLOW!ADJUSTED DATA<br />

LINE: TREND<br />

1955 1960 19<br />

+ TREND<br />

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1995 2000 2005 2010<br />

CONCENTRATION, CONCENTRATION, AS BASE!10 BASE!10 LOGARITHM LOGARITHM<br />

1 1 1.5 1.5 2 2 2.5 2.5 3 3 3.5 3.5<br />

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POINTS: SEASONALLY ADJUSTED AND DETRENDED DATA<br />

LINE: ANNUAL STREAMFLOW!RELATED ANOMALY<br />

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1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />

Figure A.66: Dissolved Sulphate Flow Adjustments — Seasonally adjusted and flow<br />

1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />

adjusted data (po<strong>in</strong>ts) and s<strong>in</strong>gle trend (l<strong>in</strong>e).<br />

RESIDUAL<br />

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DJUSTED DATA<br />

POINTS: PARMA MODEL RESIDUALS<br />

LINE: LOWESS SMOOTH WITH F= 0.5<br />

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RESIDUAL<br />

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1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />

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Figure A.67:<br />

Dissolved Sulphate Flow Adjustments — Parametric s<strong>in</strong>gle trend<br />

model residuals (po<strong>in</strong>ts) and lowess smooth l<strong>in</strong>e with F = 0.5.<br />

91

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